An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.

Answers

Answer 1
Hypotenuse of the ∆ = 6Given that it is an isosceles right triangle.So, its opposite sides will be equal.Therefore, the height of the ∆ = the length of the leg of the ∆Let the length of the leg be x.In the right triangle,[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.


Related Questions

Explain what a graph for Jed’s test scores {61%, 65%, 73%, and 79%} would look like if it was not misleading. Make sure it is different than Jed’s graph – that some may say is misleading.

Answers

Answer:

61

  ^

  ^

  ^                                                                 65                                 73

  ^                                      79                        ^                                  ^

  ^                                      ^                           ^                                  ^

                                                                 

-----------------------------------------------------------------------------------------------------------------

  Test 1                            Test 2                   Test 3                       Test 4

Answer: the test doesn't explain the order it was taken or dates. So it can be misleading

Step-by-step explanation:

A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient

Answers

The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.  

Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,

stream gradient = vertical change in elevation / horizontal distance

where

vertical change in elevation = 30 feet

horizontal distance = 2640 feet

stream gradient = 30 / 2640

stream gradient  = 0.01136363636

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Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest.

Answers

Answer:

Hello! I know I am a bit late but for those who come here in the future,

This is the order (Least to Greatest)

1) 1,500 at 8% simple interest for 6 years

2) 1,500 at 6% simple interest for 10 years

3) 1,500 at 8% simple interest for 10 years

Hope this helps!

In situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given for the three cases as,

P =$1500, R=8% , T = 10 years

P =$1500, R=8% , T = 6 years

P =$1500, R=6% , T = 10 years

The formula for the simple interest is,

Case 1,

SI = (P×R×T) / 100

SI = (1500×8×10)/100

SI = $ 1200

Case 2,

SI = (P×R×T) / 100

SI = (1500×6×10)/100

SI = $ 900

Case 3,

SI = (P×R×T) / 100

SI = (1500×8×6)/100

SI = $ 720

The simple interest for cases 1, 2, and 3 will be $ 1200, $ 900, and $ 720.

Thus, in situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.

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At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.

Answers

Answer:

At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.

Step-by-step explanation:

What is the gradient of the graph shown ? Give your answer in its simplest form

Answers

Answer:

-2

Step-by-step explanation:

choose any point on the graph

Answer:

Step-by-step explanation:

Yo you man its 3

If an opossum is 40 cm long, and a bat is 20 cm long. So an opossum is how many times as long as a bat?

Answers

40/20=2

So an opossum is 2 times as long as a bat

167.67 divided by 8.1

Answers

Answer:

167.67 divided by 8.1 = 20.7

use a calculator its easy

rewrite in slope intercept

a(bx + y) = c

Answers

Y=abx +c ……………..loll

help on theses two pls I appreciate it here is 50 points , reporting if you write anything and not writing the answer .

Answers

Answer: hi , b other one b too

Answer:

19) b

20) b

Step-by-step explanation:

The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers

Answers

Answer:

tag archives and records and counting the days

Answer:

1st number is 6

2nd number is 30

3rd number is 33

Step-by-step explanation:

Let x be the first number.

The second of three numbers is 5 times the first = 5x

The third number is 3 more than the second = 5x + 3

If the second is decreased by twice the third, the result is -21.

Multiply the third number by 2.

2(5x + 3)

= 10x + 6

Subtract the second number to it.

(5x)-(10x + 6) = -21

-5x - 6 = -21

Use APE or Addition Property of Equality

-5x = -21 + 6

-5x = -15

Use DPE or Division Property of Equality to get the value of x

[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]

x = 3

Now put the value of x in the equation

first number(x) = 6

second number(5x) = 5(6) = 30

third number(5x + 3)

5(6) + 3

30 + 3 = 33

(7 x 10^-6)(7 x 10^-6) pls help <:D

Answers

we have (7 x 10^-6)(7 x 10^-6) = (7 x 10^-6)^2 = 49 x 10^-3 = 0.049

ok done. Thank to me :>

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1

Answers

We have y = 22
D? y
= VE
Now we find the points of intersection first: 27?
-
VE
2 = 0, 1 so when x is O y is also 0
and when x is 1, y is also 1
Hence the points of intersection are (0,0) and (1,1)
Given it is rotated about y
=1
So using disk method, the volume is given by:

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units.

Procedure - Determination of the volume of a solid of revolution

Let [tex]f(x) = 1[/tex], [tex]g(x) = x^{1/2}[/tex] and [tex]h(x) = x^{2}[/tex], both [tex]g(x) [/tex] and [tex]h(x)[/tex] have the following intersection points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (1,1)[/tex]. This means that the interval of x-coordinates for the solid of revolution is [tex]x \in [0, 1][/tex].

The integral formula for the volume of the solid of revolution ([tex]V[/tex]), in cubic units, is:

[tex]V = \pi \int\limits^{1}_{0} {[h(x)-f(x)]^{2}} \, dx - \pi \int\limits^{1}_{0} {[g(x)-f(x)]^{2}} \, dx [/tex] (1)

After substituting on each function and simplifying terms we get the following integral:

[tex]V = \pi \int\limits^{1}_{0} {(x^{2}-1)^{2}} \, dx - \pi \int\limits^{1}_{0} {(x^{1/2}-1)^{2}} \, dx [/tex]

[tex]V = \pi\left[\int\limits^{1}_{0} {x^{4}} \, dx - 2\int\limits^{1}_{0} {x^{2}} \, dx -\int\limits^{1}_{0} {x} \, dx + 2\int\limits^{1}_{0} {x^{1/2}} \, dx \right][/tex]

And the volume of the solid of revolution is:

[tex]V = \pi \cdot \left(\frac{1}{5}-\frac{2}{3} -\frac{1}{2}+\frac{4}{3} \right)[/tex]

[tex]V = \frac{11\pi}{30} [/tex]

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units. [tex]\blacksquare[/tex]

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Find the equation of the line passing through the point (-5,2) with slope 1/3. Show work.

Answers

Hello!

First, let's write our equation in point-slope form.

Point-Slope Form:

y-y1=m(x-x1)

y1= the y-coordinate of the point

m=the slope

x=the x-coordinate of the point

y-2=1/3(x-(-5)

y-2=1/3(x+5)

y-2=1/3x+5/3

y=1/3x+5/3+2

y=1/3x+3.7

Hope it helps.

~A smiley teen

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

what is 5/8 divided 6

Answers

[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]

[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]

[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]

[tex]\sf \longmapsto \frac{5}{48} [/tex]

Answer In DECIMAL:

[tex]\sf \longmapsto0.1041[/tex]

The function f(x) = mx + 5 is its own inverse. Find the value of m?​

Answers

mx + 5 = (x - 5) / m

mx + 5 = x/m - 5/mAnswer:

Step-by-step explanation:

first find the inverse equation

y = mx + 5

y - 5 = mx

(y - 5) / m = x

(x - 5) / m = f⁻ˣ(x)

The original function is a line with slope m and y intercept of 5

The inverse function is a line with a slope 1/m and x intercept of 5

so the common line is where m = 1/m

m = 1/m

m² = 1

m = ± 1

The only line with a common slope between these two options is when

m = -1 and y intercept is 5

If the area of rectangular plot is 200 cm and its length is 10 m. find out its breadth.​

Answers

Answer:

The area of a rectangle is A=l x w.

So, 200=10 x w

Divide both sides by 10.

20 = w

The width of the rectangle is 20 m.

:)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

Answers

Answer:

(27×3^-2)(8×2^-3) = 3

Step-by-step explanation:

(27×3^-2)(8×2^-3) = 3 or 3/1


First, we do PEMDAS (Please Excuse My Dear Aunt Sally)

↳ (27×3^-2)

↳ 27×1/9=3


Second, do the other one in parentheses because of PEMDAS

↳ (8×2^-3)
↳ 8×1/8=1


—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————


Senna was having a party for 15 friends. She bought 3 jars of
pickles for $4.50. What is the cost per jar?

Answers

Answer:

it is 1.5

Step-by-step explanation:

if u do 4.50÷3 you will get 1.5 so the cost per jar is 1.5

If ACD and BAC are alternate interior angles and mACD=101°

Answers

Answer is A. 101°

Step-by-step explanation:

help me answer this 100 POINTS!!!!!

Answers

Answer:

1  C

2  A

Step-by-step explanation:

1 C No it cannot be defined because A and B are not congruent

2  A Yes, the lines will remain parallel

PS. It's only 50 points because two answers are allowed. Each answerer gets half.

C) No, it cannot be defined because figure A and figure B are not congruent.A) Yes, the lines will remain parallel.

what would the numerical answer be??

Answers

Answer:

Step-by-step explanation:

what do I do next???​

Answers

Answer: You have to get rid of the variables (the x's) so subtract 2x from 2x and 11x then go from there.

Step-by-step explanation:

Answer:

3 and 6

Step-by-step explanation:

11x - 53 = x^2 + 2x - 35

Subtract 11x - 53 on both sides,

0 = x^2 + 2x - 35 - ( 11x - 53 )

  = x^2 + 2x - 35 - 11x + 53

  = x^2 + 2x - 11x + 53 - 35

0 = x^2 - 9x + 18

x^2 - 9x + 18 = 0

Now this equation need to factorized.

x^2 - 9x + 18 = 0

x^2 - 3x - 6x + 18 = 0

x ( x - 3 ) - 6 ( x - 3 ) = 0

( x - 3 ) ( x - 6 ) = 0

x - 3 = 0

x = 3

x - 6 = 0

x = 6

The solutions to this system are 3 and 6.

Give TWO different ways to write EACH expression in WORDS.
a. -8n
b. a - 1
c. x/2-4
d. 5y + 9

Answers

Answer:

a. negative eight times a number, the product of a number and negative eight

b. one less than a number, a number minus one

c. four less than the quotient of a number and two, half of a number minus four

d. nine more than the product of five and a number, five times a number plus nine

lemme know if this was a help :P

Step-by-step explanation:

Number 13

I’ll reward you brainiest!!

Answers

The answer is 3 bozo open ur eyes

Plsss help I will give you the branlyest answer​

Answers

Answer:

4 1/4 is the answer u want

How many numbers less or equal to 300 are divisible by 3, 4, or both, but not by 9?

Answers

The numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are 142.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 3 - digit number as 300.

Assume that the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are [x].

Sequence of numbers divisible by 3 -

3, 6, 9, 12, ...., 300

300 = 3 + (n - 1)3

297 = 3n - 3

n(3) = 100

Sequence of numbers divisible by 4 -

4, 8, 12, ..., 300

300 = 4 + (n - 1)4

296 = 4n - 4

n(4) = 75

Sequence representing numbers less than 300, divisible by 9 -

9, 18, 27, ..., 297

297 = 9 + (n - 1)9

n(9) = 33

So, the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are -

[x] = n(4) + n(3) - n(9)

100 + 75 - 33

175 - 33

142

Therefore, the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are 142.

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Which distance formula or formulas show(s) a joint variation?

Answers

Answer:

II and III only

Step-by-step explanation:

One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.

Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 30% more.
What is the new average yearly output?

kilowatt hours=

Answers

☆Answer :

30% × 390 = 117

= 390 - 117

= 507 kw/h

The new Apple Watch series 7 cost $799. There is an additional 7% sales tax rate . If Oscar has a total of 850.00 to spend, will he be able to purchase the new Apple Watch Series 7? Explain.

Answers

The total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

The given parameters;

cost of new Apple Watch Series 7, = $799sales tax, = 7%Oscars available cash = $850

The total cost of the new Apple Watch Series 7 is calculated as follows;

Total cost = 0.07(799)  +  799

Total cost = $854.93

Thus, we can conclude that the total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

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A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.

Answers

Answer:

404 & 408

Step-by-step explanation:

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